Eeek! Ants on the Clock
Ant #1 and Ant#2 begin by meeting up at 12:00 a.m. The ants will meet up 24 times in a 24-hour day.
Ant #1 is sitting on the edge of the hour hand on a circular clock. Ant#2 is sitting on edge of the minute hand on the same clock. How many times per day do Ant#1 and Ant #2 meet up?
They next meet up between 1:05 a.m. and 1:09 a.m.
They next meet up between 2:10 a.m. and 2:14 a.m.
They next meet up between 3:15 a.m. and 3:19 a.m.
The ants meet up at 12:00 p.m.
The ants meet up for the final time that day between 11:55 and 11:59 p.m.
Ant #1 and Ant#2 begin by meeting up at 12:00 a.m.
The ants will meet up 24 times in a 24-hour day.
Peter Letts [firstname.lastname@example.org] gave Minus a solution that had the right idea, but his day included an extra 1 second (i.e. 24 hours + 1 second):
The ants on the clock will meet up 25 times a day. Every hour the two
hands pass each other, therefore they will meet up 24 times. The twenty
fifth is at midnight at the end of the day, when the hands are on top of
24 times a day.
Thanks to everyone who submitted solutions.
Keep up the great work!